The numerical solution of the elastodynamic problem with kinematic boundary conditions is considered using mixed finite elements for the space discretization and a staggered leap-frog scheme for the discretization in time. The stability of the numerical scheme is shown under the usual CFL condition. Using the general form of Robin-type boundary conditions some cases of debonding and the resulting acoustic emission are studied. The methodology presented finds applications to geophysics such as in seismic waves simulation with dynamic rupture and energy release. In this paper, we focus on problems of fracture occurring at the interface of composite materials. Our goal is to study both the mechanism of crack initiation and propagation, as well as the acoustic emission of the released structure-borne energy which may be used in structural health monitoring and prognosis applications.

中文翻译：

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考虑黏着界面损伤的动态断裂弹性动力学混合有限元数值方法

考虑了运动学边界条件下弹性动力学问题的数值解，空间离散采用混合有限元，时间离散采用交错跳跃式。在通常的 CFL 条件下显示了数值方案的稳定性。使用 Robin 型边界条件的一般形式，研究了一些脱粘情况和由此产生的声发射。所提出的方法可应用于地球物理学，例如具有动态破裂和能量释放的地震波模拟。在本文中，我们关注复合材料界面处发生的断裂问题。我们的目标是研究裂纹萌生和扩展的机制，